document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177099>Question 1177099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two kinds of fruits are displayed in a fruit stand. One is avocado fruit whose number is no more than thrice the other, which is melon. How many avocado and melons are there if there are atleast 20 total of fruits displayed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837726 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two kinds of fruits are displayed in a fruit stand. One is avocado fruit whose number is no more than thrice the other, which is melon. How many avocado and melons are there if there are atleast 20 total of fruits displayed\r<BR>\n" );
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document.write( "Let the number of melons be is x. \r<BR>\n" );
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document.write( "According to the problem, the number of avocados is no more than thrice the number of melons. \r<BR>\n" );
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document.write( "avocado ≤ 3 * melon\r<BR>\n" );
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document.write( " at least 20 total fruits displayed. \r<BR>\n" );
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document.write( "avocado + melon ≥ 20\r<BR>\n" );
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document.write( "melon ≥ avocado / 3 \r<BR>\n" );
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document.write( "Substituting this into the second equation\r<BR>\n" );
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document.write( "avocado + avocado/3 ≥ 20\r<BR>\n" );
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document.write( "Multiply by 3\r<BR>\n" );
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document.write( "3avocado + avocado ≥ 60\r<BR>\n" );
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document.write( "4avocado ≥ 60\r<BR>\n" );
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document.write( "avocado ≥ 15\r<BR>\n" );
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document.write( "avocado has to be a natural number and it is <= thrice the number of melons, the only sensible value for avocado is 15. \r<BR>\n" );
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document.write( "We Know\r<BR>\n" );
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document.write( "avocado ≤ 3 * melon\r<BR>\n" );
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document.write( "15 ≤ 3 * melon\r<BR>\n" );
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document.write( "5 ≤ melon\r<BR>\n" );
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document.write( " There are at least 5 melons .\r<BR>\n" );
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document.write( "So the possiblities \r<BR>\n" );
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document.write( "- 15 avocados and 5 melons<BR>\n" );
document.write( "- 12 avocados and 4 melons<BR>\n" );
document.write( "- 9 avocados and 3 melons\r<BR>\n" );
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document.write( " </SPAN>\n" );
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